173806 has 12 divisors (see below), whose sum is σ = 272592. Its totient is φ = 83076.

The previous prime is 173783. The next prime is 173807. The reversal of 173806 is 608371.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173807) by changing a digit.

173806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3675 + ... + 3721.

It is an arithmetic number, because the mean of its divisors is an integer number (22716).

2¹⁷³⁸⁰⁶ is an apocalyptic number.

173806 is a deficient number, since it is larger than the sum of its proper divisors (98786).

173806 is an equidigital number, since it uses as much as digits as its factorization.

173806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 173806 is about 416.9004677378. The cubic root of 173806 is about 55.8069457745.

It can be divided in two parts, 173 and 806, that added together give a palindrome (979).

The spelling of 173806 in words is "one hundred seventy-three thousand, eight hundred six".